Use distributive property to solve.
2x(5x+3) + 7(5x+3)
1. distribute
2x•5x = 10x^2
2x•3= 6x
10x^2+6x
7•5x = 35x
7•3= 21
35x+21
2. combine like terms
10x^2+6x+35x+21
10x^+ 41x +21 [final answer]
Y = -2x - 2. Slope here is -2. A parallel line will have the same slope.
y = mx + b
slope(m) = -2
(3,4)...x = 3 and y = 4
now we sub and find b, the y int
4 = -2(3) + b
4 = - 6 + b
4 + 6 = b
10 = b
so ur parallel equation is : y = -2x + 10
Multiply it by its self 3 times for example 2 to the square root of 3 2x2x2
<h3>
Answer: Choice B</h3>
Use a rigid transformation to prove that angle NPO is congruent to angle NLM
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Explanation:
The AA stands for "angle angle". So we need two pairs of angles to prove the triangles to be similar. The first pair of angles is the vertical angles ONP and MNL, which are congruent. Any pair of vertical angles are always congruent.
The second pair of angles could either be
- angle NOP = angle NML
- angle NPO = angle NLM
so we have a choice on which to pick. The pairing angle NOP = angle NML is not listed in the answer choices, but angle NPO = angle NLM is listed as choice B.
Saying angle NLM = angle LMN is not useful because those two angles are part of the same triangle. The two angles must be in separate triangles to be able to tie the triangles together.
We would use a rigid transformation to have angle NPO move to angle NLM, or vice versa through the use of a rotation and a translation.
Answer:
D.
Step-by-step explanation:
It is simply asking for the number that makes the equation untrue. So, all you need to do is plug in the various numbers below for w, and find out the incorrect number. Example with option D:
w-10≤16
27-10≤16
17≤16.
This makes the equation untrue, as 17 is not less than or equal to 16.
Hope this helps!